Pith Number

pith:CVSNSN3D

pith:2011:CVSNSN3D27KY7UHYDNCQASETB6

not attested not anchored not stored refs pending

La formule des traces pour les rev\^etements de groupes r\'eductifs connexes. III. Le d\'eveloppement spectral fin

Wen-Wei Li

arxiv:1107.2220 v1 · 2011-07-12 · math.RT · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVSNSN3D27KY7UHYDNCQASETB6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:27:41.337697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1564d93763d7d58fd0f81b450048930fa17311ce2382a65c6ed0df156c7e5e61

Aliases

arxiv: 1107.2220 · arxiv_version: 1107.2220v1 · doi: 10.48550/arxiv.1107.2220 · pith_short_12: CVSNSN3D27KY · pith_short_16: CVSNSN3D27KY7UHY · pith_short_8: CVSNSN3D

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CVSNSN3D27KY7UHYDNCQASETB6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1564d93763d7d58fd0f81b450048930fa17311ce2382a65c6ed0df156c7e5e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e26fc03219e93da3aa3e9313a2d33084835b09be05358d9574256d6382afd4e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-07-12T09:16:40Z",
    "title_canon_sha256": "a69266ecadaa0bd7a72b44c2ecd18f53ca6606ae9e1992c7aa8e26424e22d8d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2220",
    "kind": "arxiv",
    "version": 1
  }
}